Congrats for doing this full time! I learned a lot of QM from you back in college and I'm now about to finish my own PhD in experiments related to QM as well :)
@@LookingGlassUniverse I do experiments with ultracold fermions in optical lattices. My research is about how the physics changes when you put them in 1D configurations. It turns out fermions "bosonize" and they start behaving more and more like bosons. Also really weird things happen like the spatial separation of charge and spin.
@@Danyel615 I was thinking what if there was a one dimensional High energy physics model!😅Turns out theres this thing called string theory🤣 Ima just be quiet
I'm looking forward for more QM videos from you. QM has been always a subject that I enjoy and at the same time puzzles me. The more I learn, the more I realize how much I still don't know.
You're one of my favorite academic channels to watch. You make things so much fun, and you're a really great teacher. Love getting to share in what you're learning and working on!
The pattern looked super complex at first, but after the explanation it makes more sense. Great to hear that you are doing full-time youtube. Eager to see your content!
Well if you really are making full time youtube videos from now then I am ready to be here everytime you upload that's a promise ❤️ because there aren't whole bunch of channel's like yours where we can actually feel mathematics and physics ❤️
I loved Through the Looking Glass too. Being a logic/linguistics major it was great to see Carol's use of maths applied language. I like ur mural. As a professional designer now, it made me smile to watch your video. All the best for your channel, nice to see you're sharing your passions.
इस दोस्त की सबसे अच्छी बात यह है कि वह हमेशा जब वह कुछ हासिल करता है तो उसका श्रेय खुद लेता है। वह हमेशा हमारा, दर्शकों और उनकी टीम का अनादर करते हैं, और वह अपने सभी वीडियो में असभ्य हैं। हम इसके लिए खुद को बधाई देते हैं!
@@LookingGlassUniverse Incidentally, just gave my little cousin Alice in Wonderland for her birthday, maybe I'll send her this video to get her interested in math too @_@!
You are doing research ,am from india giving jee adv this year hope to get iit bombay then i surely do my phd on quantam mechanics from Mit (USA) AND HOPE TO MEET YOU MITHUNA DIIII❤❤❤❤💕
I discovered your channel when I began to re-discover maths. I'm 43 and with a lot of free time. I had a training in History in France, mathematics was a distant galaxy, a little hostile until two years ago. I started to get into it, little by little, and more and more (three months ago), and it was when I was looking for sources that I discovered your channel. Obviously, you are specialized in physics, but I retained certain ideas which you expose on the self training. In particular the insistence on the books more than on the sources on Internet. Your video "How to learn Quantum Mechanics on your own (a self-study guide)" was an inspiration. And I've been a subscriber ever since. Coincidentally my current math book is Cambridge related (Cambridge International AS&A Level Mathematics Pure Mathematics 1 by Sophie Goldie). I think I'll have it completely finished in about a month and will move on to the next volume. By the way, I really liked your video "Basic idea of calculus", because it reminded me of the beginning of the chapter on differentiation, which I am currently on. When my basics are more solid, I have a strong desire to learn linear algebra. And again, to see all your videos on the subject. I am very happy to see a video of you again after months, and which is easy to understand even without notions of physics. I'm thinking of trying to express it, at some lost moment, in the form of a geometric series (I'm a beginner), which I discovered a month ago in my book and which I loved. It will be a pleasure if you make other videos regularly.
That’s honestly so inspiring that you’re coming back to learn mathematics and pursuing it so enthusiastically! Learning all of what you’ve done so far and then linear algebra on your own takes dedication. Well done! What’s been your favourite thing you’ve learnt in the pure maths book? You’re absolutely right that this fractal has a lot to do with sequences and series. There’s a bunch of questions I still have about the pattern, so if you investigate it, please let me know!
@@LookingGlassUniverse Thank you very much for your encouragement. Especially since I have almost no scientists in my relations and that receiving the encouragement of a phd from Cambridge goes straight to my heart. My favourite thing, for the moment, is series, both arithmetic and geometric. Their potentially infinite character makes them quite mysterious, intriguing, almost esoteric in my eyes, and seeing more elaborate types of series later on is something that makes me happy. I also liked binomial expansions, also for their combinatorial aspect. For everything about the differentiation/integration block, I'm right in the first, not enough to say if that's what I'll like the most. I'll know more in about a month, when I've finished the chapter on integration. I intend to take a closer look at your pattern, I want to get into the game. I'll let you know if I find something a little bit interesting, it would make me happy but I don't promise you anything.
I'm very happy for your return, be sure that I will keep an eye on each notification of this wonderfull channel :). By the way, it would be great if you release products like t-shirts with cool designs about QM or something like that. I would be very happy to be able to wear wonderful designs on my t-shirt and to be able to support the channel:)
This is absolutely cool! As for making the pattern, there is another way. There are services that turn any image you send them into a custom wallpaper. I once ordered a 6'×9' ft piece from a hi-res Hubble composite of two colliding galaxies. Washable, and still on the wall for 10 years.
The angle between the radial lines coming from the center is 45°. Since the spiral intersects these lines at a right angle, this forms a right triangle, and so we can see that the spiral's radius will be multiplied by cos(45°) = 1/sqrt(2) every time it turns. Or equivalently, it will be shortened by a factor of 2 every time it turns by 90°. Or again equivalently, it will be shortened by a factor of 16 every time it makes a full turn. This means that if we now place 4 copies of the spiral, each rotated by 90°, then the next spiral will naturally be half the size of the previous one along the same radial line. The next one will be a quarter the size along the same line. The last one will be an eighth, and then the pattern repeats with the first spiral that will be a sixteenth. Now for the checkerboard pattern. Imagine we are walking along one of the spirals, starting at an intersection with a radial line. We start out by coloring the tile in front of us to our left in white, and the tile in front of us to our right in black. Every time we cross a radial line, we switch the colors. Once we have done a full turn, we will have crossed 8 radial lines, so we will be coloring the tile to our left in white, and the tile to our right in black, exactly as we did when we started our walk. We now have to make sure we can repeat this coloring procedure for the 3 other spirals, in a manner that produces a consistent coloring. For the second spiral, we do the same except we start out with the opposite colors, since we have to account for the fact that one of the sides of the spiral is already colored. For the third spiral we can repeat what we did for the first exactly, and for the fourth we can repeat what we did for the second. For the fifth spiral we can repeat what we did for the first exactly, which is good because the fifth and the first are actually the same. Hence we managed to extend the coloring in a consistent manner. Not sure if I'm missing an argument.
@@LookingGlassUniverse hahahah no need to be sorry :) I didn't mean I was disappointed with upload frequency before - just that I couldn't wait to see what you would be up to after finishing your PhD (and hoping you would continue to make youtube videos!)
Wow this is so cool, I'm jealous! As for the math, since there are eight radial lines each consecutive line segment gets shorter by 1/√2 so when it comes back it's 1/16 of the starting length. There are four spirals starting a quarter turn apart witch means that by the time they meet the line where the initial spiral started they will be 1/2, 1/4 and 1/8 the length, **beautiful** In the general case, the shortening factor is cos(2π/n)^m, where n is the radial line number and m is the number of turns. I've tried out different values of n and some interesting one are n=10 which has a golden ratio taste, n=12 which is (3/4)^6 of the starting length by the time is goes around, n=20 with ((5+√5)/8)^10 of the original size and the last nice one is with n=24 (it's always 24) with ((1+√3)^2/8)^12 (?) I don't know either. Taking a look at the colors, the mural has like a spiral symmetry, it can be interpreted as multiplying by 1/2 + 1/2 i. So if the colors match up locally, by symmetry it should work for every tile if the number of radial lines is even. ...is what I thought at first but it turns out it doesn't work for 10. If you go around once you get a mismatch of colors. This smells like cohomology but I didn't go into that rabbit hole ;D So for the setup you have, where each spiral starts after two turns, to get the correct colors it seems like the number of SPIRALS needs to be even i.e. the number of radial lines needs to be divisible by four. Also, I wonder if you could actually play some chess variant on this board 🤔
Hi!! Thank you for this beautiful analysis! I hadn’t done it for the general case, but your reasoning for the lengths seems spot on. Can you explain why the n=10 version is golden ratio like? And for these general cases, where do you think the next spirals should start? And yeah, you’re right, the consistent colouring problem does have a nonlocal character to it- I don’t know anything about cohomology though so I’ll also stay out of that rabbit hole!
So for n=10 the factor is (1+√5)/4 which is half of the golden ratio and the only think I can connect it to of the top of my head is a regular pentagon whose diagonal = side * golden ratio. This means that half of the diagonal and the side have the same ratio as for the n=10 spiral. Taking a quick look at that right triangle, the smallest angle is π/5, the same as in the spiral so it makes sense. In the general case there will always spirals where n is a prime so in those cases it would have to start every next section which would mean that all the sections would be the same just rotated if we just look at the lines. Another interesting thing to try could be multiple starting periods for example three and five if n=15.
The rules seem pretty simple after you went through them. I wonder what inspired it. Also, it seemed to me there was an illusion effect with the second one, where it actually doesn't look half, I guessed a third. PS: very happy to see you back :-)
This is so cool. Maybe I'm too stupid but I still couldn't completely understand how drawing the spiral lines towards the next intersection in a way that makes a right angle wouldn't just circle back to where you started instead of making a spiral😁
This is such a great question and one that confused me so much when doodling the spiral fractal over the years. Here’s how to make it even more confusing: add more spokes. I only did 8 spokes (that divided the plane into 8) but you can do the same thing with as many spokes as you like, and it still spirals in- just more slowly. The reason is that this process limits toward a circle. Anyway, the only satisfying reason for why this works is to play with it yourself, so give it a go :)
Somehow this messes with my head more than it should. Clearly there is an octagon. Also all angles seem simple 45° and 90°. The fact that this makes a spiral feels weird.
Hi there, I'm an Australian students studying physics and your story has really inspired me!! I would love to complete a phD overseas, particularly England, however international student fees seem really expensive. I'm just wondering how you ,as an Aussie, were able to study a phD at cambridge e.g. are you there on a full scholarship, were you able to take out a government or bank loan etc? :)
Hey! That’s wonderful that you’re studying physics :)! Studying abroad is very expensive but there are a bunch of scholarships you can aim for. Honestly, it’s a bit of a lottery to get them though, so apply for a lot and don’t be upset if you don’t get a few- there’s just so many people applying. The ones I applied for were Cambridge specific because I was very keen on doing a PhD with my supervisor. They were the Gates Cambridge (didn’t get it) and the Cambridge Australia Scholarship (got this one). There’s a few very competitive ones that allow you to go to different unis: Menzies, Fulbright etc. But you should ask around for specific scholarships for the universities you’re applying to as well. Good luck!
A wave is spread across. In a double slit experiment, if the wavefunction representing the electron, hits the slits, shouldn’t that be a measurement and shouldn’t that collapse the wavefunction? Now, you'll say it's not a physical wave, it's a probability wave. But then how does a probability wave split into two after the slits? Then, it should be like, the wave hits the slits, the electron says, dude I'm going through the slits, so don't collapse, but you can split into two and diffract. Is it that the electron wave passes through the slit and measurement doesn't happen there because measurement is interaction plus information leak/heat dissipation/crossing potential barrier and the whole system is actually still in superposition and undefined?
Great question! I made a video about this sort of thing a while back, but I think I really need to clarify this soon. Meanwhile, I think the old video was called measurement =/= interaction
@@LookingGlassUniverse yes I saw that video. That really helped but it would be great if you could make an animation video explaining the same soon, like you seem to intend to. I had one more deep silly question: "For discrete electron DSE, suppose part of the probability distribution wave passes through the slits, it could mean that the rest of it reflects off of the slit material and goes in the opposite direction. What does this mean for the electron? Where is it? Yeah it would also be a probability distribution but it would be lovely that you demonstrably explain it 😀
has anyone seen any images of Quantum field?(example:photon-field,up-quark field) ,the closest thing i got is this video @1:30 ruclips.net/video/1qJ0o4U63aw/видео.html. In this video there is an image/GIF it is called as Gluon-field(which is one of quantum field) other than that i am not able to find any other image(simulated or animated) image of quantum field
Great question! I wonder where you should place the pieces in this board for it to be fun to play? In any case, you can get to the other side of the board by skirting around the middle (since the infinite bit is confined to there)
I used Figma, rather than an actual programming language. It has the feel of hand drawing, which was fun, but the benefit of being able to measure distances and angles, and export as an SVG. It would probably be fun and easy to make programatically though!
PhDs leaving research for RUclips again! Should I even apply for PhD or just keep my head buried in industry? I don't have any goal to be rich, but do want a secure life in fundamental research.
Наука
The topology of this is really interesting. Moving 8 spaces clockwise is the same as moving 4 steps forward
I hadn’t thought of that! That’s really cool ✨
What is forward here?
@@Quarky_ Moving deeper into the center of the spiral
Great Observation. I wonder if it is of use or arbitrary.
Congrats for doing this full time! I learned a lot of QM from you back in college and I'm now about to finish my own PhD in experiments related to QM as well :)
That's amazing- congratulations! What's your PhD about?
@@LookingGlassUniverse I do experiments with ultracold fermions in optical lattices. My research is about how the physics changes when you put them in 1D configurations. It turns out fermions "bosonize" and they start behaving more and more like bosons. Also really weird things happen like the spatial separation of charge and spin.
@@Danyel615 Could something Similar happen at extremely high energies? Fermions "Bosonizing"
@@parmenides9036 I'd say probably no given that what we observe (Luttinger liquid regime) are the results of taking the low-energy limit
@@Danyel615 I was thinking what if there was a one dimensional High energy physics model!😅Turns out theres this thing called string theory🤣 Ima just be quiet
Full time videos! Hooray!!😄
Thank you! Super excited and nervous..
Glad that you're back! Looking forward to more videos :)
Looking forward to seeing more such videos from you Mithuna!!
I'm looking forward for more QM videos from you. QM has been always a subject that I enjoy and at the same time puzzles me. The more I learn, the more I realize how much I still don't know.
Always hoped you'll come back one day, you are the best at making sense of complicated concepts. can't wait for your new content!
You're one of my favorite academic channels to watch. You make things so much fun, and you're a really great teacher. Love getting to share in what you're learning and working on!
I better start bingeing your old videos. So excited to see what videos you're gonna release soon!
The pattern looked super complex at first, but after the explanation it makes more sense. Great to hear that you are doing full-time youtube. Eager to see your content!
Well done! Great that you will create more videos I'm ready to fall into that rabbit hole many times more!
Well if you really are making full time youtube videos from now then I am ready to be here everytime you upload that's a promise ❤️ because there aren't whole bunch of channel's like yours where we can actually feel mathematics and physics ❤️
Aww! Thank you so much!
Woah! Full time! Congrats! 🎉🎊
So excited 🤩
So excited for the new content!
Bishops are definately more valueable than knights on this board.
Escher would be proud of you. I'm just in mild bafflement at the combination of math and creativity.
Really fun video 😁 And I can't wait to see what you do next! 🤩
looking forward to seeing much more of you
I loved Through the Looking Glass too. Being a logic/linguistics major it was great to see Carol's use of maths applied language. I like ur mural. As a professional designer now, it made me smile to watch your video. All the best for your channel, nice to see you're sharing your passions.
Admirable beauty!!
Nice to have you back. We've missed you.
Fun project, and YAH for more video content! Always good stuff.
इस दोस्त की सबसे अच्छी बात यह है कि वह हमेशा
जब वह कुछ हासिल करता है तो उसका श्रेय खुद लेता है। वह हमेशा हमारा, दर्शकों और उनकी टीम का अनादर करते हैं, और वह अपने सभी वीडियो में असभ्य हैं। हम इसके लिए खुद को बधाई देते हैं!
I just love your works😍😍
it's such a simple and cool design, and i've never seen it before!
very nice! I am happy you come back
So looking forward to new videos from you!
That was so cool! Even cooler that you'll do this fulltime now 🤩 I love your channel for your unique ideas ❤ Looking forward to more content from u!
By the way, how is your PhD going?
Woo! This is awesome! Keep up the great work!
This is spiraling out of control!
It really did 😂😭
@@LookingGlassUniverse Incidentally, just gave my little cousin Alice in Wonderland for her birthday, maybe I'll send her this video to get her interested in math too @_@!
"Questionable but effective methods" are what Brothers are all about!
You are doing research ,am from india giving jee adv this year hope to get iit bombay then i surely do my phd on quantam mechanics from Mit (USA) AND HOPE TO MEET YOU MITHUNA DIIII❤❤❤❤💕
Yay! Looking forward to more videos.
I discovered your channel when I began to re-discover maths. I'm 43 and with a lot of free time. I had a training in History in France, mathematics was a distant galaxy,
a little hostile until two years ago. I started to get into it, little by little, and more and more (three months ago), and it was when I was looking for sources that I discovered your channel.
Obviously, you are specialized in physics, but I retained certain ideas which you expose on the self training. In particular the insistence on the books more than on
the sources on Internet. Your video "How to learn Quantum Mechanics on your own (a self-study guide)" was an inspiration. And I've been a subscriber ever since.
Coincidentally my current math book is Cambridge related (Cambridge International AS&A Level Mathematics Pure Mathematics 1 by Sophie Goldie). I think I'll have it completely finished in about a month and will move
on to the next volume. By the way, I really liked your video "Basic idea of calculus", because it reminded me of the beginning of the chapter on differentiation, which I am currently on.
When my basics are more solid, I have a strong desire to learn linear algebra. And again, to see all your videos on the subject.
I am very happy to see a video of you again after months, and which is easy to understand even without notions of physics. I'm thinking of trying to express it, at some lost moment, in the form
of a geometric series (I'm a beginner), which I discovered a month ago in my book and which I loved.
It will be a pleasure if you make other videos regularly.
That’s honestly so inspiring that you’re coming back to learn mathematics and pursuing it so enthusiastically! Learning all of what you’ve done so far and then linear algebra on your own takes dedication. Well done! What’s been your favourite thing you’ve learnt in the pure maths book?
You’re absolutely right that this fractal has a lot to do with sequences and series. There’s a bunch of questions I still have about the pattern, so if you investigate it, please let me know!
@@LookingGlassUniverse Thank you very much for your encouragement. Especially since I have almost no scientists in my relations and that receiving the encouragement of a phd from Cambridge goes straight to my heart.
My favourite thing, for the moment, is series, both arithmetic and geometric. Their potentially infinite character makes them quite mysterious, intriguing, almost esoteric in my eyes, and seeing more elaborate types of series later on is something that makes me happy.
I also liked binomial expansions, also for their combinatorial aspect. For everything about the differentiation/integration block, I'm right in the first, not enough to say if that's what I'll like the most. I'll know more in about a month, when I've finished the chapter on integration.
I intend to take a closer look at your pattern, I want to get into the game. I'll let you know if I find something a little bit interesting, it would make me happy but I don't promise you anything.
I'm very happy for your return, be sure that I will keep an eye on each notification of this wonderfull channel :). By the way, it would be great if you release products like t-shirts with cool designs about QM or something like that. I would be very happy to be able to wear wonderful designs on my t-shirt and to be able to support the channel:)
Aww, thank you! I’ll definitely keep that in mind :)!!
This is absolutely cool! As for making the pattern, there is another way. There are services that turn any image you send them into a custom wallpaper. I once ordered a 6'×9' ft piece from a hi-res Hubble composite of two colliding galaxies. Washable, and still on the wall for 10 years.
What website did you get this from? That sounds perfect. Maybe I’ll use it for my other walls…
Nice to see you're back
Prachtig!! Knap gedaan.
Short and sweet video
Kiara just chillin'
Welcome back Mithuna 💕
Lovely dress. Can't wait to learn about quantum computing stuff.
...when your interior designer is a math nerd. lol.. love it.
Hey Dr Mithuna is back again. 😀
New videos! SO EXITED!
The angle between the radial lines coming from the center is 45°. Since the spiral intersects these lines at a right angle, this forms a right triangle, and so we can see that the spiral's radius will be multiplied by cos(45°) = 1/sqrt(2) every time it turns. Or equivalently, it will be shortened by a factor of 2 every time it turns by 90°. Or again equivalently, it will be shortened by a factor of 16 every time it makes a full turn.
This means that if we now place 4 copies of the spiral, each rotated by 90°, then the next spiral will naturally be half the size of the previous one along the same radial line. The next one will be a quarter the size along the same line. The last one will be an eighth, and then the pattern repeats with the first spiral that will be a sixteenth.
Now for the checkerboard pattern. Imagine we are walking along one of the spirals, starting at an intersection with a radial line. We start out by coloring the tile in front of us to our left in white, and the tile in front of us to our right in black. Every time we cross a radial line, we switch the colors. Once we have done a full turn, we will have crossed 8 radial lines, so we will be coloring the tile to our left in white, and the tile to our right in black, exactly as we did when we started our walk.
We now have to make sure we can repeat this coloring procedure for the 3 other spirals, in a manner that produces a consistent coloring. For the second spiral, we do the same except we start out with the opposite colors, since we have to account for the fact that one of the sides of the spiral is already colored. For the third spiral we can repeat what we did for the first exactly, and for the fourth we can repeat what we did for the second. For the fifth spiral we can repeat what we did for the first exactly, which is good because the fifth and the first are actually the same. Hence we managed to extend the coloring in a consistent manner.
Not sure if I'm missing an argument.
Great analysis! This is spot on.
Thanks for taking the time to work it out and write it up!
Congratulations on doing RUclips full time
It's great to see you're back. I hope you do a career update. I know you got your PHD then Covid19 threw a wrench in your plans.
Lovely human; insightful channel! ☝️😎💭💖☘️☀️
Congrats
Awesome mural! And making youtube videos full-time?? I was waiting for this for so long :D
Awww! Sorry to keep you waiting!
@@LookingGlassUniverse hahahah no need to be sorry :) I didn't mean I was disappointed with upload frequency before - just that I couldn't wait to see what you would be up to after finishing your PhD (and hoping you would continue to make youtube videos!)
Wow this is so cool, I'm jealous!
As for the math, since there are eight radial lines each consecutive line segment gets shorter by 1/√2 so when it comes back it's 1/16 of the starting length. There are four spirals starting a quarter turn apart witch means that by the time they meet the line where the initial spiral started they will be 1/2, 1/4 and 1/8 the length, **beautiful**
In the general case, the shortening factor is cos(2π/n)^m, where n is the radial line number and m is the number of turns. I've tried out different values of n and some interesting one are n=10 which has a golden ratio taste, n=12 which is (3/4)^6 of the starting length by the time is goes around, n=20 with ((5+√5)/8)^10 of the original size and the last nice one is with n=24 (it's always 24) with ((1+√3)^2/8)^12 (?) I don't know either.
Taking a look at the colors, the mural has like a spiral symmetry, it can be interpreted as multiplying by 1/2 + 1/2 i. So if the colors match up locally, by symmetry it should work for every tile if the number of radial lines is even.
...is what I thought at first but it turns out it doesn't work for 10. If you go around once you get a mismatch of colors. This smells like cohomology but I didn't go into that rabbit hole ;D
So for the setup you have, where each spiral starts after two turns, to get the correct colors it seems like the number of SPIRALS needs to be even i.e. the number of radial lines needs to be divisible by four.
Also, I wonder if you could actually play some chess variant on this board 🤔
Hi!! Thank you for this beautiful analysis! I hadn’t done it for the general case, but your reasoning for the lengths seems spot on. Can you explain why the n=10 version is golden ratio like? And for these general cases, where do you think the next spirals should start?
And yeah, you’re right, the consistent colouring problem does have a nonlocal character to it- I don’t know anything about cohomology though so I’ll also stay out of that rabbit hole!
So for n=10 the factor is (1+√5)/4 which is half of the golden ratio and the only think I can connect it to of the top of my head is a regular pentagon whose diagonal = side * golden ratio. This means that half of the diagonal and the side have the same ratio as for the n=10 spiral. Taking a quick look at that right triangle, the smallest angle is π/5, the same as in the spiral so it makes sense.
In the general case there will always spirals where n is a prime so in those cases it would have to start every next section which would mean that all the sections would be the same just rotated if we just look at the lines. Another interesting thing to try could be multiple starting periods for example three and five if n=15.
The rules seem pretty simple after you went through them. I wonder what inspired it. Also, it seemed to me there was an illusion effect with the second one, where it actually doesn't look half, I guessed a third.
PS: very happy to see you back :-)
Yeah, it looks that way even in real life, very trippy!
Thank you for your lovely comment :)
Please make more content!!
This is so cool. Maybe I'm too stupid but I still couldn't completely understand how drawing the spiral lines towards the next intersection in a way that makes a right angle wouldn't just circle back to where you started instead of making a spiral😁
This is such a great question and one that confused me so much when doodling the spiral fractal over the years. Here’s how to make it even more confusing: add more spokes. I only did 8 spokes (that divided the plane into 8) but you can do the same thing with as many spokes as you like, and it still spirals in- just more slowly. The reason is that this process limits toward a circle. Anyway, the only satisfying reason for why this works is to play with it yourself, so give it a go :)
@@LookingGlassUniverse wow. The I'll try playing with it myself to see how it works😊🙏
Love it
That's dank af
So that's how u got ur name for channel also really happy to find that you r Indian. Ur content is good
Yay!! More _Alice in Quantumland_ ??
Reminds me of the album cover for 'Good & Evil' by Tally Hall
Happy tessellation! Roger Penrose got stuck doing this for a while, you no doubt know.
Somehow this messes with my head more than it should. Clearly there is an octagon. Also all angles seem simple 45° and 90°. The fact that this makes a spiral feels weird.
Penrose would be jealous!
PS, Patreon link?
That reminds me of Self-similarity... Fractals?
Hi there, I'm an Australian students studying physics and your story has really inspired me!! I would love to complete a phD overseas, particularly England, however international student fees seem really expensive. I'm just wondering how you ,as an Aussie, were able to study a phD at cambridge e.g. are you there on a full scholarship, were you able to take out a government or bank loan etc? :)
Hey! That’s wonderful that you’re studying physics :)! Studying abroad is very expensive but there are a bunch of scholarships you can aim for. Honestly, it’s a bit of a lottery to get them though, so apply for a lot and don’t be upset if you don’t get a few- there’s just so many people applying. The ones I applied for were Cambridge specific because I was very keen on doing a PhD with my supervisor. They were the Gates Cambridge (didn’t get it) and the Cambridge Australia Scholarship (got this one). There’s a few very competitive ones that allow you to go to different unis: Menzies, Fulbright etc. But you should ask around for specific scholarships for the universities you’re applying to as well. Good luck!
@@LookingGlassUniverse thankyou so much! All the best on your research :)
The coral representation of collatz conjecture, 3x+1, can also generate pretty cool pictures!
🙌❣
Playing chess on that board would be weird. Very weird. I don't think FIDE would approve, though.
A wave is spread across. In a double slit experiment, if the wavefunction representing the electron, hits the slits, shouldn’t that be a measurement and shouldn’t that collapse the wavefunction? Now, you'll say it's not a physical wave, it's a probability wave. But then how does a probability wave split into two after the slits? Then, it should be like, the wave hits the slits, the electron says, dude I'm going through the slits, so don't collapse, but you can split into two and diffract. Is it that the electron wave passes through the slit and measurement doesn't happen there because measurement is interaction plus information leak/heat dissipation/crossing potential barrier and the whole system is actually still in superposition and undefined?
Great question! I made a video about this sort of thing a while back, but I think I really need to clarify this soon. Meanwhile, I think the old video was called measurement =/= interaction
@@LookingGlassUniverse yes I saw that video. That really helped but it would be great if you could make an animation video explaining the same soon, like you seem to intend to. I had one more deep silly question: "For discrete electron DSE, suppose part of the probability distribution wave passes through the slits, it could mean that the rest of it reflects off of the slit material and goes in the opposite direction. What does this mean for the electron? Where is it? Yeah it would also be a probability distribution but it would be lovely that you demonstrably explain it 😀
Nice
Wow, a chessboard rabbit hole -- how deep did you say it goes? :-D
How does one contact you directly re consulting?
Tks
The mural looks like the square root spiral.
It's based on that :)
Nice 🙂
Commenting to appease the algorithm gods!!
Long time Ma'am
wonder if we could an infinite Fibonacci chessboard
Oh, great question! Maybe give it a go?
❤️👍
Wow excellent math/maker project indeed♾♾♾♾♾🎬🌌➿🚀🗽😍🥰😘😻🌈☮️💟⭐️🤖 I hope you feel healthy doing lots of RUclips and similar however ascertained🤯
has anyone seen any images of Quantum field?(example:photon-field,up-quark field) ,the closest thing i got is this video @1:30 ruclips.net/video/1qJ0o4U63aw/видео.html. In this video there is an image/GIF it is called as Gluon-field(which is one of quantum field) other than that i am not able to find any other image(simulated or animated) image of quantum field
Doggo spotted!! 🐶
Nicely done, taco cat
Here's a pun I made after watching your " Born Rule" video .
Life = |🔱》 = (1/2^½) .|😐》+
(3/10)^ ½ .|🙂》 +(1/4^½) .|🙁》
If you have to cross an infinite number of squares before you capture the king, is it even possible to capture the king?
Great question! I wonder where you should place the pieces in this board for it to be fun to play? In any case, you can get to the other side of the board by skirting around the middle (since the infinite bit is confined to there)
What (program?) did you use to design it?
I used Figma, rather than an actual programming language. It has the feel of hand drawing, which was fun, but the benefit of being able to measure distances and angles, and export as an SVG. It would probably be fun and easy to make programatically though!
wtf is the 2 norm?
Hi क्या तुमारी पीएचडी complete हो गई है
PhDs leaving research for RUclips again! Should I even apply for PhD or just keep my head buried in industry? I don't have any goal to be rich, but do want a secure life in fundamental research.
Following my PhD too in quantum commuting simulators
Oh cool! Can you tell me more about your topic?
So you did phd and doing youtube 🙃
...how can you prove the existence of God with mathematics...?
That the laws of Physics can be expressed mathematically presents a compelling case for the existence of a Creator Who is greater than the creation.
Why you weren't uploading?
are you indian?